{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# FINC4012 Project"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "## Import the library and data"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pandas as pd\n",
    "import numpy as np\n",
    "import statsmodels.tsa.api as smt\n",
    "import statsmodels.api as sm\n",
    "import scipy.stats as scs\n",
    "from arch import arch_model\n",
    "from arch.unitroot import ADF"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 50,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Plot the graph\n",
    "import matplotlib.pyplot as plt\n",
    "import matplotlib as mpl\n",
    "%matplotlib inline"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, import the data with YTM"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 76,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130\n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131\n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132\n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132\n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131"
      ]
     },
     "execution_count": 76,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "link = 'data/combine_data.xlsx'\n",
    "sp500 = pd.read_excel(link)\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "Plot the graph"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 78,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 2 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(sp500.shape[0])\n",
    "plt.figure( figsize = [10,8])\n",
    "SP = plt.axes()\n",
    "SP2 = SP.twinx()\n",
    "# SP.plot(X, sp500_rm['price'], color = 'black', label = 'Price')\n",
    "SP.plot(X, sp500['YTM'], label = 'YTM')\n",
    "SP2.plot(X, sp500['price'], label = \"Price\", color = 'red')\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks], size = 10)\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 79,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x12f7c1e90>"
      ]
     },
     "execution_count": 79,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": "iVBORw0KGgoAAAANSUhEUgAAAXcAAAD4CAYAAAAXUaZHAAAABHNCSVQICAgIfAhkiAAAAAlwSFlzAAALEgAACxIB0t1+/AAAADh0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uMy4xLjMsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy+AADFEAAAgAElEQVR4nO3dd5xcZ33v8c9vZna29yKtVmVVVpIluUhaN9xtXMEFcGwwxRgTJwQSc4EEOzeXC4QkJPe+IHApsbEhptrGGGQbU4QLrpIt2bJ6WXWttvfe5rl/PGdXu7LKqu7q+Pt+vfa1Z55T5jdnzvnOc86cmTHnHCIiEi6RsS5ARESOP4W7iEgIKdxFREJI4S4iEkIKdxGREIqNdQEABQUFrrS0dKzLEBE5paxcubLeOVd4oHHjItxLS0tZsWLFWJchInJKMbOdBxun0zIiIiGkcBcRCSGFu4hICCncRURCSOEuIhJCCncRkRBSuIuIhNC4uM5dRERG79WtDSQnHbpvrnAXETmFVLV08aEfLDvsdDotIyJyimjp6uP8f3t2VNOq5y4iMs5V1LazpaaNJ1fvHfU8owp3M9sBtAEDQL9zrtzM8oBHgFJgB3CLc67JzAz4FnAd0Al83Dn3xhE8DhERCWyra+fG77xER+/AUNuST1/Ajd99+ZDzHUnP/TLnXP2w2/cAzzjnvm5m9wS3vwhcC5QFf+cC3w/+i4jIQdS2dvPK1gauWTCRpetrSI5FeLminode3UluWhJ3XjSD/oEEl88tYt6kLOKxE/eG6o3ApcHwQ8Dz+HC/Efix87+8vczMcsys2DlXdQz3JSISSptr2rjqmy/sa3hk5PjL5xZxz7VzmT0hc0T7u08rYsshljvacHfAH83MAfc55+4HJgwL7GpgQjBcAuweNu+eoG1EuJvZXcBdAFOnTh1lGSIi4fHW7mbufvjNodvzirNYX9XK2aW5fOS8aUzOTWXxtLwDzvu9Dy/m+x85+LJHG+4XOucqzawIWGpmG4ePdM65IPhHLXiBuB+gvLz8iOYVETnV7G7spCAjmdR4lN2Nndz3wlZ+umwXhZnJPPCxci4sKyA5FuGVrQ0smppLajx6TPc3qnB3zlUG/2vN7NfAOUDN4OkWMysGaoPJK4Epw2afHLSJiIRe/0CCaMQwM5xzrN7Twta6dr7wy7coykwhJy2JjdVtAOSlx/nd3RdRkJE8NP8FswqOSx2HDXczSwcizrm2YPgq4KvAE8DtwNeD/0uCWZ4APmNmD+PfSG3R+XYRORm21rWztbadwsxk0uIx5kzMPOT0VS1dJMei5KXHj+h+qlu6iUTge89tpb2nn+XbG7jtnGk8v6mW5dsbyU+Pc1FZAeurWtlc075vvtZuqlu7OX9GPv9803xKctKOuYd+MObf9zzEBGYzgF8HN2PAz51z/2Jm+cCjwFRgJ/5SyMbgUsjvANfgL4W8wzl3yN/QKy8vd/qZPRE5Ur39CSpq2yktSOPh13bz1afWjxj/ozvO5rI5RUO3+wcSbKlt57TiLJ7bVMvf/vxN2nv6ue3cqXztxgVEIjZi/nsfX83Wug6+e9siCjOTaero5aWKer7wy7fo6U8csrbUpChT8lK5efFk2rv7WTgtl5kFGdS0dXN26YHPox8pM1vpnCs/4LjDhfvJoHAXkaPxpSVr+fGrI39G9J9vnE9FbTsPBe2rv3wVWSlJJBKOv/rpSpaur2FqXhq7GjsBmD0hg8017Xz0vGlkpsRYsmov6clR0uIxVu1uHlruV26Yz0Ov7GBbfQcA583I4zOXlbF8ewOl+emU5KYyvSCdyuYuFk7JAcD3dU8chbuIhEZX7wA1rd188VerWb69EQAzeM/pxXzp+nkUZaYA8NTqvXzm529y+/nT+PIN8/nZ8l3802/WDi3nby6dyR0XTKcgI84t973K6zuahsadOz2PN3Y1cVpxFjecOYmv/XbD0Lg7Lijl81fNISN57D/gr3AXkVBo6ezjum+/SGVz11Dba//zCvLS4sSiIz/U45zj1vuW8dqOfS8Ap5dk881bzyIvLU7usPPsLV19vLC5jnfNzMfMyEuP09HTT3IsQiwaobK5ix+8sI3rz5zE4mm5J+fBjoLCXUROec45bvjOy6ypbOEj502lICOZv7p45iHfkOwbSLDwq0tp7+nn1vIp3HvdXHLSjuzN0/HsUOE+9scVIvKO55zj6TXVlBakMX9S9ohxfQMJ6tt7eKWigTWVLXzuytn83RVlo1puUjTCd25byG/erORf3rfgbb37MFO4i8iY2d3Yyfb6Dn7w4jZe3FJPWjzKZy6fxVXzJvLoit0sXV9DZVMXvQP+ypTJuanccUHpEd3HpXOKuHTYFTPvFDotIyInXSLh+Nyjq/jNKv8VtilJEW48s4Q3dzeNuC58VlEGZ07OoTQ/jbnFWZw7I4+slKSxKnvc0WkZERlXfvDitqFgf/+iEv76kplDX4z15Ft7eWr1XmYWZvB3V5SRknRiPuQTdgp3ETmh9jZ30dU3wIaqVho7enl+Ux3Pbqzl2gUT+d6HF73tWvDrz5zE9WdOGqNqw0PhLiInzOCli82dfUNtRZnJ/OVF0/nbK8pO+Id83skU7iJy3PX2J3hs5R7+8ddrAP+hoLOm5PDeMyZxWnHmO+qqlbGicBeRI1bb2s2ayhbSk2Nsrmlje30H/QOO17Y30tU3QEpSZOiN0S+9dx6fuHD6GFf8zqNwF5EhLV19PPDiNpKiEf76kpkknOPXb1ayvb6DeDRCa3cfb+xqYm1l6wHnz01LYkFJNuv3tvKv7zudW8onq5c+RhTuIgLAH9dVc8/ja2js6AXgG0s3H3C6aMR4/6ISzp+Rz+6mLk4vyWbh1BwSCUdhZrLOo48TCncRoaLW/5jEhKwUHri9nFcq6nlxSz2zijK4qKyAi8oK6e4bYCDhSIpGRnwvi4xPCneRd5BEwhGJGAMJx+o9zfx02S5e39HIrsZO0uNRvv6B01k0NZdFU3P5zOUjP+KfPg6+BVFGT8+WSMjsaujkla31bKvvID89zq/e2ENVczfZaUnEIkZpQTq7GzvZWue/lzwWMd5zejF/fclMTp+cfZily6lC4R4CAwlHNGJsqWnjTxtqmT0hgxU7m3h6TRWXzy3in94zj68+uY4/baglMyXGtQuKmV6YDsCO+g4+edF00uKxoV6dnJpW7mziIw8sp6tvAPDnxgcSjllFGZiBc7C3pZsdDZ2cXpLNl947jwvLCphRkK43PUNI4X6CtHb38fBru1iyai/nTM/j76+eQ1rcr+6mjl7+uL6ad582gZrWHho7ejGDpetreHFLHenJMc4uzeOqeROobu3md2uq2VLbRnVLN5fOKeJrNy2gsbOXV7Y28L3nKqhu7eZAXxE0f1IWP3p5Bz96eceI9sEf5x30zMZa0pKirNzZxPkz87nxrElcNX/iuPgxAjm8yuYulqyq5KFXdtDVN8At5ZO544LplBVlsKepi2n5afQH58p7+gd4Y2cz507P0wt5yOmLw4Ce/gF6+hMH/EKivoEEy7b5rxq9dkExOxo6eGzFHhyO9y2czOwJGUQjxhNv7aWitp26th72NHWxo6FjROBOL0inL/hmu5auPtq6+w9Yy4yCdKpbu+nsHRjRflFZASU5qfzqjT30DexbcFlRBpfMLuR3a6s5a0oOn79qNnubu0mNR1k0NYfvPlfBSxX1XD1/Ih89b9rQ/T61ei9T89OpaenmS0+spbsvQXF2ClUt3UPL/s5tC3nvGe+Mj4Fvrmnj92uraenqIzctiWsWTGRSTurQC/J4sHpPMwkHMwrT2dXQSUFGMsu3N/ClJeto6epjWn4a9310MXMnZo11qXKS6Mc6Au09/Rj+cPXBl7bT1NHL8u2NbK1rJyka4cs3zOOGM0uIRozuvgFerqjny0+uY3dj12GXPSgWMS4sK2DOhEx6+hO8b2EJlc1d3P/CNgozk4mY/+HcCdkp7G3u5pzpeUzOSaWjt5/yaXlMzPY/EVbb2s0Tb+2ls3dg6LQJwC9e28WLW+o4a0oO75pZwPxJWZgZg8/j0VyG1tnbTzRiJMeibK/v4N7HV7Nsm//1mmsXTOTf3n86KUlRkmMRBhKOnv4E/QOO7LSDfztfU0cvS9fXcPHsQn66bCfVrd1DvzD/N5fOHPUPJjjnqGzuYnJu2hE9psEX5dy0OJ29Ayyelks0YlS3dFPZ3MkLm+vp6U/w6tZ6+hOOdXv9ddupSdGh0xpp8SgZyTHmFmeRlRKjqbOXq+dPpCAjmY3VbaytbKG3P8HfXj6Lc2fkH1F9h1Pb2s1nH1lFc2cfl80t5MzJOdz1k5UAJEVtxAv83ImZfPtDCykrytBliO8w77hw7x9I0J9wpCRFcc7x+7XVfO23G6hs7iIjOUZBRpwdDf7HcafmpXF2aR7Ltzewp6mLlKQI84qz2NnQSUNHL0WZyXz+qtkMJOD5TbVcMqeQa+ZPJD05xtNrqhhIOKpaurl4diGnFWfiHKH4Frua1m7u+NHrrK8a+WGVeCxCb3+C7NQkrpk/kZ7+ATp7B6ht62HR1FzeNTOfZzbW8tRbe2nr2Xd0EjFwgAHlpXn8+BPnjGo9/eK1Xdz7+Bo+/q5S7rxwOmnxKHnpcZo7+2jo6KE4O5X05BjdQSAv29bAU6ureGZDDU3Dvs8kJSlCaX76205JzZ2YSWZKjAtnFXLTwklMzUtjQ1UbG6paeXVbA89urKWtu494NEJWatKII5uizGRq23ooyUnlC1fPZktNO/FYhEtmF7KgJJs1lS20d/ezoCR76IXtYBIJx7JtDby6rYHdjZ38eXPdiPoBctKSKM1PZ1JOCmeX5gF++71gVkEotjk5cqEJd+ccv1tbzczCDOZMzDzodJ/++Rv8fm01OalJJMci7A12yIvKCshPj9Pe08/iaXncvHgy+elxIhEjkXA8taaKJW9WsrG6jSl5qVw5byK3nj3lHXvuubO3n6fXVPO95yrISUti1e5mLp5dSF5anBe21NHVO0B3f4LCjGSm5qexanczvf3+1NPUvDRuPXsK2+o6uOK0Iq5dMJGe/gR/WFfN3Q+vIjMlxrT8NPr6HZfMKWQg4Wju7KOito3rz5zEJy6YzvLtjXzqZytHfOkU+JAbbEuPRzlneh7LtzcOncrKTIlxyexCLp9bxEDC8eTqKtbvbWFWUQbzJ2WTHItwzYKJzJ2YRVLUDtvbTSQc/QmHGfxubTWFGckAnF2ay6rdzXz4geX0BI/7QErz03jPGcXEIhGWb2+gqaOPeZOyMIOslCQKMuKs3NnEc5vqACjOTuGsKTlDX3d735+3sqepi/s/tnhcnSaSsReKcF++rYFP/eyNoU/PzSrKYGZhOsu2NTJ/UhYXlRUyqyiD7zxXwVu7m8lKifGumQUAXDqnkL8on0JUbyAdk+6+gbf1EIefDmrr7mNDVRu9/QnOmppz0BfF5zfV8pUn17OrsZOyogw2VrcNHRGkJEXo7ksQj0boHUgwJS+V/77jHFq6+vjm0s3sbe5i8bRcImbMn5TFk6ur6OjpJzctzoKSbEpyUrj17KnEYyfv6o/t9R1sqm6jbEIGETNe2lLHK1sbSDjH7AmZLFm1l12N/khxZmE6zsG2en8ZYmZKbOh9kFvLp/CJC6cfsuMiMtwpFe7OOTZUtbG+qpXGjh5e3dpAQ0cvq/e0APDu0yYwe0IGj7y+m6bOXhLOH/IngocRj0W4+4oy/vKiGSd1B5cj09LZR3NXL9Py0+nuGyAWMd7Y1cyCkiz+12/Wsb2+nfecMYmbzppEftBTPlUlEo7nNtWyoCSbCVkpOOfo6hsgHo0Qi0bY29xFNGJMyEoZ61LlFHNKhPvy117nJ6/u4D/+sGnElSKFmcnkp8eZkpfGv7xvAUWZfgdo6eojGjFiESMpGqGqpYtdDZ1MzU874jffREROReP+Z/ZqWruZ+Y9PA3DWlBzefVoRuelxZhRkcHZp7gE/YJGdOvJKjcm5CnURkUHjItxr23ooBr734UVcu2CiLucSETlG4yLcJ+em8sI9l1OSkzrWpYiIhMK4eMcxNy2uYBcROY5GHe5mFjWzN83sqeD2dDNbbmYVZvaImcWD9uTgdkUwvvTElC4iIgdzJD33u4ENw27/O/BN59wsoAm4M2i/E2gK2r8ZTCciIifRqMLdzCYD7wEeCG4bcDnwWDDJQ8BNwfCNwW2C8VeY3iEVETmpRttz/0/gH4DBz1jnA83OucEvD9kDlATDJcBugGB8SzD9CGZ2l5mtMLMVdXV1R1m+iIgcyGHD3czeC9Q651Yezzt2zt3vnCt3zpUXFhYez0WLiLzjjeZSyAuAG8zsOiAFyAK+BeSYWSzonU8GKoPpK4EpwB4ziwHZQMNxr1xERA7qsD1359y9zrnJzrlS4IPAs865DwPPATcHk90OLAmGnwhuE4x/1o2H7zgQEXkHOZbr3L8IfM7MKvDn1B8M2h8E8oP2zwH3HFuJIiJypI7oE6rOueeB54PhbcA5B5imG/iL41CbiIgcpXHxCVURETm+FO4iIiGkcBcRCSGFu4hICCncRURCSOEuIhJCCncRkRBSuIuIhJDCXUQkhBTuIiIhpHAXEQkhhbuISAgp3EVEQkjhLiISQgp3EZEQUriLiISQwl1EJIQU7iIiIaRwFxEJIYW7iEgIKdxFREJI4S4iEkIKdxGREFK4i4iEkMJdRCSEFO4iIiGkcBcRCSGFu4hICCncRURC6LDhbmYpZvaamb1lZuvM7CtB+3QzW25mFWb2iJnFg/bk4HZFML70xD4EERHZ32h67j3A5c65M4GzgGvM7Dzg34FvOudmAU3AncH0dwJNQfs3g+lEROQkOmy4O689uJkU/DngcuCxoP0h4KZg+MbgNsH4K8zMjlvFIiJyWKM6525mUTNbBdQCS4GtQLNzrj+YZA9QEgyXALsBgvEtQP4BlnmXma0wsxV1dXXH9ihERGSEUYW7c27AOXcWMBk4B5h7rHfsnLvfOVfunCsvLCw81sWJiMgwR3S1jHOuGXgOOB/IMbNYMGoyUBkMVwJTAILx2UDDcalWRERGZTRXyxSaWU4wnApcCWzAh/zNwWS3A0uC4SeC2wTjn3XOueNZtIiIHFrs8JNQDDxkZlH8i8GjzrmnzGw98LCZfQ14E3gwmP5B4CdmVgE0Ah88AXWLiMghHDbcnXOrgYUHaN+GP/++f3s38BfHpToRETkq+oSqiEgIKdxFREJI4S4iEkIKdxGREFK4i4iEkMJdRCSEFO4iIiGkcBcRCSGFu4hICCncRURCSOEuIhJCCncRkRBSuIuIhJDCXUQkhBTuIiIhpHAXEQkhhbuISAgp3EVEQkjhLiISQgp3EZEQUriLiISQwl1EJIQU7iIiIaRwFxEJIYW7iEgIKdxFREJI4S4iEkIKdxGREDpsuJvZFDN7zszWm9k6M7s7aM8zs6VmtiX4nxu0m5l928wqzGy1mS060Q9CRERGGk3PvR/4vHNuHnAe8GkzmwfcAzzjnCsDngluA1wLlAV/dwHfP+5Vi4jIIR023J1zVc65N4LhNmADUALcCDwUTPYQcFMwfCPwY+ctA3LMrPi4Vy4iIgd1ROfczawUWAgsByY456qCUdXAhGC4BNg9bLY9QZuIiJwkow53M8sAfgV81jnXOnycc84B7kju2MzuMrMVZrairq7uSGYVEZHDGFW4m1kSPth/5px7PGiuGTzdEvyvDdorgSnDZp8ctI3gnLvfOVfunCsvLCw82vpFROQARnO1jAEPAhucc98YNuoJ4PZg+HZgybD2jwVXzZwHtAw7fSMiIidBbBTTXAB8FFhjZquCtn8Evg48amZ3AjuBW4JxTwPXARVAJ3DHca1YREQO67Dh7px7CbCDjL7iANM74NPHWJeIiBwDfUJVRCSEFO4iIiGkcBcRCSGFu4hICCncRURCSOEuIhJCCncRkRBSuIuIhJDCXUQkhBTuIiIhpHAXEQkhhbuISAgp3EVEQkjhLiISQgp3EZEQUriLiISQwl1EJIQU7iIiIaRwFxEJIYW7iEgIKdxFREJI4S4iEkIKdxGREFK4i4iEkMJdRCSEFO4iIiGkcBcRCSGFu4hICCncRURC6LDhbmY/NLNaM1s7rC3PzJaa2Zbgf27Qbmb2bTOrMLPVZrboRBYvIiIHNpqe+38D1+zXdg/wjHOuDHgmuA1wLVAW/N0FfP/4lCkiIkfisOHunHsBaNyv+UbgoWD4IeCmYe0/dt4yIMfMio9XsSIiMjpHe859gnOuKhiuBiYEwyXA7mHT7Qna3sbM7jKzFWa2oq6u7ijLEBGRAznmN1Sdcw5wRzHf/c65cudceWFh4bGWISIiwxxtuNcMnm4J/tcG7ZXAlGHTTQ7aRETkJDracH8CuD0Yvh1YMqz9Y8FVM+cBLcNO34iIyEkSO9wEZvYL4FKgwMz2AP8b+DrwqJndCewEbgkmfxq4DqgAOoE7TkDNIiJyGIcNd+fchw4y6ooDTOuATx9rUSIicmz0CVURkRBSuIuIhJDCXUQkhBTuIiIhpHAXEQkhhbuISAgp3EVEQkjhLiISQgp3EZEQUriLiISQwl1EJIQU7iIiIaRwFxEJIYW7iEgIKdxFREJI4S4iEkIKdxGREFK4i4iEkMJdRCSEFO4iIiGkcBcRCSGFu4hICCncRURCSOEuIhJCCncRkRBSuIuIhJDCXUQkhBTuIiIhpHAXEQmhExLuZnaNmW0yswozu+dE3IeIyDvS5j9Ab+dhJzvu4W5mUeC7wLXAPOBDZjbvkDM5B1uf9f8PZqAPEgno6zp0Ac5B/RbYs/Lt7cOX37Ln0Ms5HjoaoLXq2JaRGID+3tFNe6j119MGfd2jv9+26tFPe6A6hj9PA31Hv6z2Onjl/8FA/9EvY6wc6vk40LSHmr63048/1HoY3PaPRCKxb96qt2DLn45s/tEsv26z3477uvc9RuegeTc079pXw/56O/18g5yDJz8Lf/4/fvvatRyWfd/X3V4H9RWwZSl01L99WQ1bobMR3vypr2dQT/uh66/bNHJ5vZ1+nkRi32Np2gG//QL09/j26rXQuG3kcpzzmdTT7p/DwX26cZvfP1r2+Bq7W4J1tmnk9tDb6Zdfsw5+fgv8azG01Ryy9NihH9lROQeocM5tAzCzh4EbgfUHnaNlN/zkfX544hn+QdRvgrR8yJ8FmRNh/ZJ90099F0w7328cW/4IE0+HSQshlgwr/xs66vx0iz4GLgEN22DXK75twc0QT4c3HvK3i+bDlHP8Cj79A7DjJb/h7H4NKldAfhmkZPu2pu3Q17lvvpmXgUWgtRJqNwIO6jdD6YWQNwNW/DBYI3dB4VyoXQ9Jaf7xVr0F2VMgLQ8yJkKiH+o2QtNOSM2G1FxY8AF4/QEftNMv8etj1rth93KoXgPRJGjeCXkz/fTrHofJZ0PWJL+hR6Jw9p1+h133a+jrgAmnQ9m7fQj0dUJaAZxxC/zy4zDQC2fc6pddtQoWfgSiyTDQ43fCaBx6O/z/7CmQmuM37JQcyJsOuaV+Y33xG9Df5R9z/iyoeMav47R8/1wu/rhfv+uX+LqzJkFSKux61W/El3wRXv1OsMEHYdVSCTVrYceLUHY19LRCwWxfS1o+bH3G19S0A7In+/XcWQ9F8/x6TQxAcoZfl3UbIXMSTD3X77iZE/36aNgKsy73z/lAj39cW5b6GrJKoPhMv9zmnf55Skrx62fB+2Ht47D9zzDlXCgog+QseOkbfns+84NQsx76u/3znDHBv9jufBlmXw2pebD2V/5+krP8dtu0w28vfV1+u27a4ddDPMMvs24jnHUbtO716zctD7oafTgAzLwcJsz3YdKyx9+3cxBP8+GTO83vGzXrobfdP66+Dj9vbqnfhveuguRM6Gr2j6m10tddH4RjehEUzvHDO16E5GzoaYHTbvDre9Nv9+2zsVS/33U3w4xL/XYyPABzpvr/s670z9/WZ/0yo3EoOg1iKZBRBBue9NM997WDxgkA534KtvwBFt/hn/en/sfI8TnToKvJb0fxTLjtEaj4E+x53d/vnOv89vTafX47jqf7QG7Y4tdlNO73l3iGX38Au5ZBzZp99zHjMr8P9nX5/adlN0y/2OdW0/Z962t/Cz7gt4cZl/n6KleCRX3OVa3aN91jdxxyFZg7kt7FKJjZzcA1zrlPBrc/CpzrnPvMftPdBdwFsLg4snjFXRmQPdWvsPZj6DW+raCo3yjajrIHXTTfP6EDo+w9g98Q+w/QSx4MykjM7+T7O1j7wcYnpfmNrLt5X5tF/E4bFhMW+FA/EjlTfe9noGffC/3+UnP9zp2U5l/khu+kJ4z5oD7QtjFcJOZfAForD7/ISJJ/cWzeCemFIx/v4PY2+Bj3NxhQ+y8vlgK9bcPKjoIb4LjJngo4H3ZHIpbia+5pPbr73X/fyJvx9h72iRBJgsQhjl5Lyn1H8kBSc6G7FcquhM2/HzkutxT77OqVzrnyA816Inruo+Kcux+4H6B8wSzHP63zT1xiwG/8zbt8zzC9aF+PIjnL97TqN/sdMbcUGir8NGZ+486d5qdtr/UbdGoepGT5HmdiYF/PLpbiX1FTsv2865f43k88w/ciC+f6I4h4ml/ept/5nt2ij/qNvaHCL2v21f5wL6MoOPXR5XuCFvGvuG3VvjeVMQFmXOJriiZD9WrY+QpccLefPxb3vaTuVt97MPO15M/y9cRS/GMePBq44G7/P5HwveTKlb7X3t0KbXt9KPa2w5rHIL0A5r/P99K2/xnmvx82POF7lHtW+J3stOt9z6RyhT8aat7lgyKe4XtaZVf6HuLZn/QvJhuf9vPgfO8ffMAMDqcXQOUbPlymXbCvl7Rrmd+hUnJ8z7twjn++Myb4dZqWByt+5I8mCk+DSAQ2/xHaa/bd18TTfW890Q8bf+ufg7Q8fxosJcsf0Qyum+YdvudZt8kv0yK+ruIz/PpJzvJ1peb65y6aDNVv+Xp6O339rXt979GisO15mHOtP9KLp8OKB/06vPKr/jnqaYXG7ZBd4mvsqPfPc1Kqfw6SM6B2Q7AdxH3noXFr8II04OuLJfvnv7MRXrvfr2mFRAoAAAasSURBVLOzbvNHba98G87/DGDBUUCw7Tvn//d1+fWZmuu33/Zav71vetof3W59zm9np10frKN+/3wUzPbz+50TnvmKn+6cu/zj6mr2z2Ek6ucpmO23j50vQ+nF0LLL74dpeX4b7G2H/Jn+iCu9EDY+BbOugM4GH6rg12HTDn8UMuMyvx0u/y+YfI7fX2df5Z/vaJJ/EUrO3Bcgjdt92+B9Ne/0R7dJaX47adoBP7x6ZOjcu8cfQXw11x89Xv8tf2Sz6mf+iGDq+XDx3/vOxMTT/f/C0/xz/ML/hZLFcMuP/f0m+v1+OuVceO0H/vmcdYV/bL+8w+8zp9/s999I1B+JJKX5575kcdAexG8sDuuf8Mt1Cb8vX/JFv16Kz/TrPxL12/rgC/bmP+w7+3AQJ6Lnfj7wZefc1cHtewGcc/92sHnKy8vdihUHeeUSETka/T3BOe7gBXpy0MHt7/XBGjmFLxZ8/UH47eewr7Se1J7760CZmU0HKoEPAredgPsRETm4WLL/A3/qaqg9Pjb1HE9z3+uPdPn6QSc57i9dzrl+4DPAH4ANwKPOuXXH+35ERN6xMifANQc9GQKcoHPuzrmngadPxLJFROTwTuGTTiIicjAKdxGREFK4i4iEkMJdRCSEFO4iIiGkcBcRCSGFu4hICB33rx84qiLM2oBNY13HESoADvDdouPWqVYvqOaT5VSr+VSrF05czdOcc4UHGjFmXxy2n00H+36E8crMVpxKNZ9q9YJqPllOtZpPtXphbGrWaRkRkRBSuIuIhNB4Cff7x7qAo3Cq1Xyq1Quq+WQ51Wo+1eqFMah5XLyhKiIix9d46bmLiMhxpHAXEQmhMQ93M7vGzDaZWYWZ3TPW9QCY2Q/NrNbM1g5ryzOzpWa2JfifG7SbmX07qH+1mS0ao5qnmNlzZrbezNaZ2d3jvW4zSzGz18zsraDmrwTt081seVDbI2YWD9qTg9sVwfjSk11zUEfUzN40s6dOkXp3mNkaM1tlZiuCtnG7XQR15JjZY2a20cw2mNn547VmM5sTrNvBv1Yz++yY1+ucG7M/IApsBWYAceAtYN5Y1hTUdTGwCFg7rO0/gHuC4XuAfw+GrwN+BxhwHrB8jGouBhYFw5nAZmDeeK47uO+MYDgJWB7U8ijwwaD9v4BPBcN/A/xXMPxB4JExWtefA34OPBXcHu/17gAK9msbt9tFUMdDwCeD4TiQM95rDmqJAtXAtLGud0xWwLAVcT7wh2G37wXuHcuahtVSul+4bwKKg+Fi/AevAO4DPnSg6ca4/iXAladK3UAa8AZwLv6TfLH9txH8TzeeHwzHgunsJNc5GXgGuBx4KthBx229wX0fKNzH7XYBZAPb919X47nmYfd9FfDyeKh3rE/LlAC7h93eE7SNRxOcc1XBcDUwIRged48hOPxfiO8Jj+u6g1Mcq4BaYCn+SK7Z+d/i3b+uoZqD8S1A/smtmP8E/gFIBLfzGd/1Ajjgj2a20szuCtrG83YxHagDfhSc/nrAzNIZ3zUP+iDwi2B4TOsd63A/JTn/cjsuryE1swzgV8BnnXOtw8eNx7qdcwPOubPwPeJzgLljXNJBmdl7gVrn3MqxruUIXeicWwRcC3zazC4ePnIcbhcx/GnR7zvnFgId+NMaQ8ZhzQTvtdwA/HL/cWNR71iHeyUwZdjtyUHbeFRjZsUAwf/aoH3cPAYzS8IH+8+cc48HzeO+bgDnXDPwHP60Ro6ZDX7v0fC6hmoOxmcDDSexzAuAG8xsB/Aw/tTMt8ZxvQA45yqD/7XAr/EvouN5u9gD7HHOLQ9uP4YP+/FcM/gXzzecczXB7TGtd6zD/XWgLLjaII4/pHlijGs6mCeA24Ph2/HntAfbPxa8A34e0DLsUOykMTMDHgQ2OOe+MWzUuK3bzArNLCcYTsW/R7ABH/I3H6TmwcdyM/Bs0CM6KZxz9zrnJjvnSvHb6rPOuQ+P13oBzCzdzDIHh/HnhNcyjrcL51w1sNvM5gRNVwDrx3PNgQ+x75TMYF1jV+9YvOmw3xsQ1+Gv7NgK/M+xrieo6RdAFdCH70XciT9X+gywBfgTkBdMa8B3g/rXAOVjVPOF+MO+1cCq4O+68Vw3cAbwZlDzWuBLQfsM4DWgAn+Imxy0pwS3K4LxM8ZwG7mUfVfLjNt6g9reCv7WDe5j43m7COo4C1gRbBu/AXLHc81AOv6oLHtY25jWq68fEBEJobE+LSMiIieAwl1EJIQU7iIiIaRwFxEJIYW7iEgIKdxFREJI4S4iEkL/HypENpYyzFOfAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "sp500['price'].plot()\n",
    "sp500['price'].diff(1).plot()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.161756</td>\n",
       "      <td>0.161756</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.041067</td>\n",
       "      <td>-0.041067</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.558768</td>\n",
       "      <td>-0.558768</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.064869</td>\n",
       "      <td>0.064869</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  \n",
       "0         NaN       NaN  NaN  \n",
       "1   -0.161756  0.161756  NaN  \n",
       "2    0.041067 -0.041067  NaN  \n",
       "3    0.558768 -0.558768  NaN  \n",
       "4   -0.064869  0.064869  NaN  "
      ]
     },
     "execution_count": 54,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500['log_return'] = np.log(sp500.price / sp500['price'].shift(1)) * 100\n",
    "sp500['loss'] = -sp500['log_return']\n",
    "sp500['VAR'] = np.nan\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "# HS and WHS (Historial Simulation and Weighted HS)\n",
    "p = 1\n",
    "window = 250\n",
    "eta = 0.99\n",
    "weights = eta ** (np.arange(250,0,-1) - 1) * (1 - eta) / (1 - eta ** window)\n",
    "for i in range(window + 1, sp500.shape[0]):\n",
    "    datause = sp500.loc[i - window: i-1, 'log_return']\n",
    "    sp500.loc[i, 'VAR'] = -np.percentile(datause, p)\n",
    "    sp500.loc[i, 'VAR_WHS'] = np.sort( -datause)[np.min(np.where(weights[np.argsort(-datause)].cumsum() > 0.99))]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 56,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "      <th>VAR_WHS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2018-03-12</td>\n",
       "      <td>428.43</td>\n",
       "      <td>0.037829</td>\n",
       "      <td>6.810783</td>\n",
       "      <td>0.907084</td>\n",
       "      <td>0.037617</td>\n",
       "      <td>110</td>\n",
       "      <td>0.084063</td>\n",
       "      <td>-0.084063</td>\n",
       "      <td>0.424458</td>\n",
       "      <td>0.513631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2018-03-13</td>\n",
       "      <td>428.69</td>\n",
       "      <td>0.037813</td>\n",
       "      <td>6.829319</td>\n",
       "      <td>0.910477</td>\n",
       "      <td>0.037620</td>\n",
       "      <td>111</td>\n",
       "      <td>0.060668</td>\n",
       "      <td>-0.060668</td>\n",
       "      <td>0.424458</td>\n",
       "      <td>0.513631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2018-03-14</td>\n",
       "      <td>429.12</td>\n",
       "      <td>0.037782</td>\n",
       "      <td>6.838654</td>\n",
       "      <td>0.914316</td>\n",
       "      <td>0.037571</td>\n",
       "      <td>113</td>\n",
       "      <td>0.100255</td>\n",
       "      <td>-0.100255</td>\n",
       "      <td>0.424458</td>\n",
       "      <td>0.513631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2018-03-15</td>\n",
       "      <td>429.01</td>\n",
       "      <td>0.037919</td>\n",
       "      <td>6.837897</td>\n",
       "      <td>0.915226</td>\n",
       "      <td>0.037732</td>\n",
       "      <td>113</td>\n",
       "      <td>-0.025637</td>\n",
       "      <td>0.025637</td>\n",
       "      <td>0.424458</td>\n",
       "      <td>0.513631</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2018-03-16</td>\n",
       "      <td>428.67</td>\n",
       "      <td>0.038071</td>\n",
       "      <td>6.834014</td>\n",
       "      <td>0.914697</td>\n",
       "      <td>0.037850</td>\n",
       "      <td>112</td>\n",
       "      <td>-0.079284</td>\n",
       "      <td>0.079284</td>\n",
       "      <td>0.424458</td>\n",
       "      <td>0.513631</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2018-03-12  428.43  0.037829  6.810783   0.907084  0.037617  110   \n",
       "1 2018-03-13  428.69  0.037813  6.829319   0.910477  0.037620  111   \n",
       "2 2018-03-14  429.12  0.037782  6.838654   0.914316  0.037571  113   \n",
       "3 2018-03-15  429.01  0.037919  6.837897   0.915226  0.037732  113   \n",
       "4 2018-03-16  428.67  0.038071  6.834014   0.914697  0.037850  112   \n",
       "\n",
       "   log_return      loss       VAR   VAR_WHS  \n",
       "0    0.084063 -0.084063  0.424458  0.513631  \n",
       "1    0.060668 -0.060668  0.424458  0.513631  \n",
       "2    0.100255 -0.100255  0.424458  0.513631  \n",
       "3   -0.025637  0.025637  0.424458  0.513631  \n",
       "4   -0.079284  0.079284  0.424458  0.513631  "
      ]
     },
     "execution_count": 56,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "# Draw the graph\n",
    "sp500_pic = sp500.loc[window+1:, :].copy()\n",
    "sp500_pic = sp500_pic.reset_index(drop = True)\n",
    "X = np.arange(sp500_pic.shape[0])\n",
    "xticklabel = sp500_pic.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "xticks = np.arange(0, sp500_pic.shape[0] + 1, np.int((sp500_pic.shape[0] + 1) / 4))\n",
    "\n",
    "sp500_pic.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 57,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 432x288 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "plt.figure()\n",
    "SP = plt.axes()\n",
    "SP.plot(X, sp500_pic['loss'], color = 'red', label = 'Return')\n",
    "SP.plot(X, sp500_pic.VAR, color = 'black', label = 'VAR(HS)')\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks])\n",
    "plt.xlabel('Loss Date')\n",
    "plt.ylabel('HS VaR and Loss')\n",
    "plt.grid()\n",
    "plt.legend()\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### Risk Metrics 風險矩陣法\n",
    "$\\large \n",
    "\\sigma^2_{PF, t+1} = 0.94 \\, \\sigma^2_{PF,t} + 0.06 \\, R^2_{PF,t}$\n",
    "\n",
    "假設 Index 的對數收益率服從正態分布，RM 方法是對於波對率的一種簡單估計方法，是 GARCH(1,1) 模型的一種特殊情況。"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 58,
   "metadata": {},
   "outputs": [],
   "source": [
    "p = 1\n",
    "window = 250\n",
    "eta = 0.99\n",
    "weights = eta ** (np.arange(250,0,-1) - 1) * (1 - eta) / (1 - eta ** window)\n",
    "sp500['sigma2'] = np.nan\n",
    "sp500.loc[0,'sigma2'] = 0"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 59,
   "metadata": {},
   "outputs": [],
   "source": [
    "for i in range(sp500.shape[0] - 2):\n",
    "    sp500.loc[i+1, 'sigma2'] = sp500.loc[i,'sigma2'] * 0.94 + 0.06 * sp500.loc[i,'log_return'] ** 2\n",
    "\n",
    "sp500['VAR_RM'] = -sp500['sigma2'] ** 0.5 * scs.norm(0,1).ppf(0.01) * np.sqrt(10)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 60,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "      <th>VAR_WHS</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>VAR_RM</th>\n",
       "      <th>VAR_HS</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.161756</td>\n",
       "      <td>0.161756</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.041067</td>\n",
       "      <td>-0.041067</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.558768</td>\n",
       "      <td>-0.558768</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.064869</td>\n",
       "      <td>0.064869</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  VAR_WHS  sigma2  VAR_RM  VAR_HS  \n",
       "0         NaN       NaN  NaN      NaN     0.0     0.0     NaN  \n",
       "1   -0.161756  0.161756  NaN      NaN     NaN     NaN     NaN  \n",
       "2    0.041067 -0.041067  NaN      NaN     NaN     NaN     NaN  \n",
       "3    0.558768 -0.558768  NaN      NaN     NaN     NaN     NaN  \n",
       "4   -0.064869  0.064869  NaN      NaN     NaN     NaN     NaN  "
      ]
     },
     "execution_count": 60,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "for i in range(window + 1, sp500.shape[0]):\n",
    "    datause = sp500.loc[i - window: i - 1, 'log_return']\n",
    "    sp500.loc[i,'VAR_HS'] = - np.percentile(datause, p) * np.sqrt(10)\n",
    "    sp500.loc[i,'VAR_WHS'] = np.sort(-datause)[np.min(np.where(weights[np.argsort(-datause)].cumsum() > 0.99))] * np.sqrt(10)\n",
    "    \n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 61,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Set the poistion\n",
    "budget = 1000000\n",
    "sp500['position_HS'] = budget / sp500['VAR_HS']\n",
    "sp500['position_WHS'] = budget / sp500['VAR_WHS']\n",
    "sp500['position_RM'] = budget / sp500['VAR_RM']\n",
    "\n",
    "sp500['return_HS'] = (np.exp(sp500['log_return']) - 1) * sp500['position_HS']\n",
    "sp500['return_WHS'] = (np.exp(sp500['log_return']) - 1) * sp500['position_WHS']\n",
    "sp500['return_RM'] = (np.exp(sp500['log_return']) - 1) * sp500['position_RM']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 62,
   "metadata": {},
   "outputs": [],
   "source": [
    "sp500_rm = sp500.loc[window+1:, :].copy()\n",
    "sp500_rm = sp500_rm.reset_index(drop = True)\n",
    "sp500_rm['cum_HS'] = sp500['return_HS'].cumsum()\n",
    "sp500_rm['cum_WHS'] = sp500['return_WHS'].cumsum()\n",
    "sp500_rm['cum_RM'] = sp500['return_RM'].cumsum()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 63,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "<class 'pandas.core.frame.DataFrame'>\n",
      "RangeIndex: 499 entries, 0 to 498\n",
      "Data columns (total 23 columns):\n",
      "date            499 non-null datetime64[ns]\n",
      "price           499 non-null float64\n",
      "YTM             499 non-null float64\n",
      "duration        499 non-null float64\n",
      "Convexity       499 non-null float64\n",
      "YTW             499 non-null float64\n",
      "OAS             499 non-null int64\n",
      "log_return      499 non-null float64\n",
      "loss            499 non-null float64\n",
      "VAR             499 non-null float64\n",
      "VAR_WHS         499 non-null float64\n",
      "sigma2          0 non-null float64\n",
      "VAR_RM          0 non-null float64\n",
      "VAR_HS          499 non-null float64\n",
      "position_HS     499 non-null float64\n",
      "position_WHS    499 non-null float64\n",
      "position_RM     0 non-null float64\n",
      "return_HS       499 non-null float64\n",
      "return_WHS      499 non-null float64\n",
      "return_RM       0 non-null float64\n",
      "cum_HS          248 non-null float64\n",
      "cum_WHS         248 non-null float64\n",
      "cum_RM          0 non-null float64\n",
      "dtypes: datetime64[ns](1), float64(21), int64(1)\n",
      "memory usage: 89.7 KB\n"
     ]
    }
   ],
   "source": [
    "sp500_rm.info()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 64,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 1440x360 with 1 Axes>"
      ]
     },
     "metadata": {
      "needs_background": "light"
     },
     "output_type": "display_data"
    }
   ],
   "source": [
    "X = np.arange(sp500_rm.shape[0])\n",
    "plt.figure( figsize = [20,5])\n",
    "SP = plt.axes()\n",
    "SP.plot(X, sp500_rm['cum_RM'], color = 'blue', label = 'Risk Metrics')\n",
    "SP.plot(X, sp500_rm['cum_HS'], color = 'red', label = 'HS')\n",
    "SP.plot(X, sp500_rm['cum_WHS'], color = 'green', label = 'WHS')\n",
    "\n",
    "xticks = np.arange(0, sp500_rm.shape[0] + 1, np.int((sp500_rm.shape[0] + 1) / 5))\n",
    "xticklabel = sp500_rm.loc[:,'date'].apply(lambda x:str(x.year) + '-' +str(x.month) + '-' +str(x.day))\n",
    "SP.set_xticks(xticks)\n",
    "SP.set_xticklabels(xticklabel[xticks], size = 20)\n",
    "plt.grid()\n",
    "plt.legend(loc='best')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### AR(1) Model"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "First, plot the graph and set the formula"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 65,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ts_plot(data, lags=None, title=\"\"):\n",
    "    if not isinstance(data,pd.Series):\n",
    "        data = pd.Series(data)\n",
    "        \n",
    "    #matplotlib官方提供了五种不同的图形风格，\n",
    "    #包括bmh、ggplot、dark_background、fivethirtyeight和grayscale\n",
    "    with plt.style.context('ggplot'):\n",
    "        fig = plt.figure(figsize=(10,8))\n",
    "        layout = (3,2)\n",
    "        # Set the layout\n",
    "        ts_ax = plt.subplot2grid(layout, (0,0), colspan = 2)\n",
    "        acf_ax = plt.subplot2grid(layout, (1,0))\n",
    "        pacf_ax = plt.subplot2grid(layout,(1,1))\n",
    "        qq_ax = plt.subplot2grid(layout,(2,0))\n",
    "        pp_ax = plt.subplot2grid(layout,(2,1))\n",
    "        # plot the graph time series data\n",
    "        data.plot(ax=ts_ax)\n",
    "        ts_ax.set_title(title + \"  Time Series Graph\")\n",
    "        # Graph acf\n",
    "        smt.graphics.plot_acf(data, lags = lags, ax = acf_ax, alpha = 0.5)\n",
    "        acf_ax.set_title('ACF')\n",
    "        # Graph PACF\n",
    "        smt.graphics.plot_pacf(data, lags = lags, ax = pacf_ax, alpha = 0.5)\n",
    "        pacf_ax.set_title('PACF')\n",
    "        # Graph QQ\n",
    "        sm.qqplot(data, line = 's', ax = qq_ax)\n",
    "        qq_ax.set_title(\"QQ Plot\")\n",
    "        # Graph PP\n",
    "        scs.probplot(data, sparams = (data.mean(), data.std()), plot = pp_ax)\n",
    "        pp_ax.set_title(\"PP Graph\")\n",
    "        plt.tight_layout()\n",
    "    return"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 66,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 模拟AR(1) 过程 \n",
    "#设置随机种子（括号里数字无意义）\n",
    "np.random.seed(1)\n",
    "# Time to simulate\n",
    "time = 5000\n",
    "\n",
    "# The params of AR Model\n",
    "a = 0.8\n",
    "\n",
    "# Error terms is normal distributed\n",
    "x = w = np.random.normal(size = time)\n",
    "for t in range(1,time):\n",
    "    x[t] = a * x[t-1] + w[t]\n",
    "\n",
    "ts_plot(x, lags = 30, title = \"White Noise\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 67,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "0    0.034871\n",
       "1    0.035158\n",
       "2    0.035210\n",
       "3    0.034411\n",
       "4    0.034475\n",
       "Name: YTM, dtype: float64"
      ]
     },
     "execution_count": 67,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ytm = sp500['YTM']\n",
    "log_return = sp500['log_return']\n",
    "price = sp500['price']\n",
    "ytm.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 68,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style scoped>\n",
       "    .dataframe tbody tr th:only-of-type {\n",
       "        vertical-align: middle;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: right;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>date</th>\n",
       "      <th>price</th>\n",
       "      <th>YTM</th>\n",
       "      <th>duration</th>\n",
       "      <th>Convexity</th>\n",
       "      <th>YTW</th>\n",
       "      <th>OAS</th>\n",
       "      <th>log_return</th>\n",
       "      <th>loss</th>\n",
       "      <th>VAR</th>\n",
       "      <th>VAR_WHS</th>\n",
       "      <th>sigma2</th>\n",
       "      <th>VAR_RM</th>\n",
       "      <th>VAR_HS</th>\n",
       "      <th>position_HS</th>\n",
       "      <th>position_WHS</th>\n",
       "      <th>position_RM</th>\n",
       "      <th>return_HS</th>\n",
       "      <th>return_WHS</th>\n",
       "      <th>return_RM</th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>0</th>\n",
       "      <td>2017-03-10</td>\n",
       "      <td>414.54</td>\n",
       "      <td>0.034871</td>\n",
       "      <td>6.599510</td>\n",
       "      <td>0.835825</td>\n",
       "      <td>0.034687</td>\n",
       "      <td>130</td>\n",
       "      <td>0.000000</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>0.0</td>\n",
       "      <td>0.0</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>inf</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>1</th>\n",
       "      <td>2017-03-13</td>\n",
       "      <td>413.87</td>\n",
       "      <td>0.035158</td>\n",
       "      <td>6.595612</td>\n",
       "      <td>0.836458</td>\n",
       "      <td>0.034978</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.161756</td>\n",
       "      <td>0.161756</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2</th>\n",
       "      <td>2017-03-14</td>\n",
       "      <td>414.04</td>\n",
       "      <td>0.035210</td>\n",
       "      <td>6.595863</td>\n",
       "      <td>0.837464</td>\n",
       "      <td>0.035040</td>\n",
       "      <td>132</td>\n",
       "      <td>0.041067</td>\n",
       "      <td>-0.041067</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>3</th>\n",
       "      <td>2017-03-15</td>\n",
       "      <td>416.36</td>\n",
       "      <td>0.034411</td>\n",
       "      <td>6.607058</td>\n",
       "      <td>0.839528</td>\n",
       "      <td>0.034221</td>\n",
       "      <td>132</td>\n",
       "      <td>0.558768</td>\n",
       "      <td>-0.558768</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>4</th>\n",
       "      <td>2017-03-16</td>\n",
       "      <td>416.09</td>\n",
       "      <td>0.034475</td>\n",
       "      <td>6.609571</td>\n",
       "      <td>0.837917</td>\n",
       "      <td>0.034274</td>\n",
       "      <td>131</td>\n",
       "      <td>-0.064869</td>\n",
       "      <td>0.064869</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "      <td>NaN</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "        date   price       YTM  duration  Convexity       YTW  OAS  \\\n",
       "0 2017-03-10  414.54  0.034871  6.599510   0.835825  0.034687  130   \n",
       "1 2017-03-13  413.87  0.035158  6.595612   0.836458  0.034978  131   \n",
       "2 2017-03-14  414.04  0.035210  6.595863   0.837464  0.035040  132   \n",
       "3 2017-03-15  416.36  0.034411  6.607058   0.839528  0.034221  132   \n",
       "4 2017-03-16  416.09  0.034475  6.609571   0.837917  0.034274  131   \n",
       "\n",
       "   log_return      loss  VAR  VAR_WHS  sigma2  VAR_RM  VAR_HS  position_HS  \\\n",
       "0    0.000000       NaN  NaN      NaN     0.0     0.0     NaN          NaN   \n",
       "1   -0.161756  0.161756  NaN      NaN     NaN     NaN     NaN          NaN   \n",
       "2    0.041067 -0.041067  NaN      NaN     NaN     NaN     NaN          NaN   \n",
       "3    0.558768 -0.558768  NaN      NaN     NaN     NaN     NaN          NaN   \n",
       "4   -0.064869  0.064869  NaN      NaN     NaN     NaN     NaN          NaN   \n",
       "\n",
       "   position_WHS  position_RM  return_HS  return_WHS  return_RM  \n",
       "0           NaN          inf        NaN         NaN        NaN  \n",
       "1           NaN          NaN        NaN         NaN        NaN  \n",
       "2           NaN          NaN        NaN         NaN        NaN  \n",
       "3           NaN          NaN        NaN         NaN        NaN  \n",
       "4           NaN          NaN        NaN         NaN        NaN  "
      ]
     },
     "execution_count": 68,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "sp500.loc[0,'log_return'] = 0\n",
    "sp500.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 69,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(ytm, lags=40, title=\"YTM\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 70,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>0.268</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.976</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  0.268\n",
       "P-value                         0.976\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 70,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(ytm)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 71,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(price,lags=40, title=\"Price \" )"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 72,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>1.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.995</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  1.025\n",
       "P-value                         0.995\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 72,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(price)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 73,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "image/png": "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\n",
      "text/plain": [
       "<Figure size 720x576 with 5 Axes>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "ts_plot(log_return, lags=20, title=\"Log Return\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 23,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>     <td>1.025</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.995</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                  1.025\n",
       "P-value                         0.995\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 23,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "price = sp500['price']\n",
    "ADF(price)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 38,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<table class=\"simpletable\">\n",
       "<caption>Augmented Dickey-Fuller Results</caption>\n",
       "<tr>\n",
       "  <td>Test Statistic</td>   <td>-27.023</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>P-value</td>            <td>0.000</td>\n",
       "</tr>\n",
       "<tr>\n",
       "  <td>Lags</td>                   <td>0</td>\n",
       "</tr>\n",
       "</table><br/><br/>Trend: Constant<br/>Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)<br/>Null Hypothesis: The process contains a unit root.<br/>Alternative Hypothesis: The process is weakly stationary."
      ],
      "text/plain": [
       "<class 'arch.unitroot.unitroot.ADF'>\n",
       "\"\"\"\n",
       "   Augmented Dickey-Fuller Results   \n",
       "=====================================\n",
       "Test Statistic                -27.023\n",
       "P-value                         0.000\n",
       "Lags                                0\n",
       "-------------------------------------\n",
       "\n",
       "Trend: Constant\n",
       "Critical Values: -3.44 (1%), -2.87 (5%), -2.57 (10%)\n",
       "Null Hypothesis: The process contains a unit root.\n",
       "Alternative Hypothesis: The process is weakly stationary.\n",
       "\"\"\""
      ]
     },
     "execution_count": 38,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "ADF(log_return)"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "### ADF Testing"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [],
   "source": [
    "# 单位根检验(原假设H0：时间序列具有单位根（不平稳）)：\n",
    "# http://www.statsmodels.org/stable/generated/statsmodels.tsa.stattools.adfuller.html?\n",
    "# highlight=adfuller#statsmodels.tsa.stattools.adfuller\n",
    "\n",
    "from statsmodels.tsa.stattools import adfuller\n",
    "def DFTest(sales, regression, maxlag , autolag='AIC'):\n",
    "    print(\"ADF - Test Result >>\")\n",
    "    dftest = adfuller(sales,regression=regression, maxlag = maxlag, autolag = autolag)\n",
    "    \n",
    "    dfoutput = pd.Series(dftest[0:4], index=['Test Statistic','P-Value','Lags Used','Nobs'])\n",
    "    \n",
    "    for key, value in dftest[4].items():\n",
    "        dfoutput['Critical Value at %s'% key] = value\n",
    "    print(dfoutput)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "ADF - Test Result >>\n",
      "Test Statistic           -27.022930\n",
      "P-Value                    0.000000\n",
      "Lags Used                  0.000000\n",
      "Nobs                     749.000000\n",
      "Critical Value at 1%      -3.439111\n",
      "Critical Value at 5%      -2.865407\n",
      "Critical Value at 10%     -2.568829\n",
      "dtype: float64\n"
     ]
    }
   ],
   "source": [
    "# regression可以根据模型形式指定为：\n",
    "# ‘c'：仅常数，默认；’ct‘：常数和长期趋势；’ctt’：常数、线性和二次曲线趋势；‘nc’：无常数趋势。\n",
    "\n",
    "DFTest(log_return, regression='c',maxlag=6, autolag='AIC')\n",
    "#对原始数据进行单位根检验"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 3
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython3",
   "version": "3.7.4"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 4
}
